MTH342how to do this

Exercise 3. Let V a R\" be equipped 1with the inner product given by (u, v) = VT\" and w = H1 1 1 1)? Consider the subspace. W = [v E V : va = U}. (i) [3 points) Find an orthonormal basis '15 of W. [11) (4 points) Let s = {(1 o o 0112(1) 1 o (1)1". (o u 1 (1)5", [o o u 1?}, which is the standard basis of V. Determine the change of basis matrix, A = [Ih which cllsugw the coordinates of V from the basis {5' = {w} UT: to the basis 3. (iii) {4 points) Find the \"actor 11 E W such that 1.1 is "clomt" to v = {1 1 2 SF in the sense that \"u - VII 5 |[w- V" for all w E W